Download presentation
Presentation is loading. Please wait.
Published byConstance Riley Modified over 5 years ago
1
Section 2.3 Sine Law © Copyright all rights reserved to Homework depot:
2
I) Sine Law The Sine Law is for solving triangles that are not R.T. Name each side with the opposite angle There are 3 separate equations The Sine Law can only be used when you are given one of the angles with its opposite side © Copyright all rights reserved to Homework depot:
3
Ex: A triangle ABC has side a = 12 cm, angle A = 60°, and angle C = 45°. Solve for side c.
4
Practice: Find the value of “x”
Indicate the sides and angles Formula Cross Multiply and Solve for “X” © Copyright all rights reserved to Homework depot:
5
II) Finding Missing Angles
To find the angle, you need to use inverse sine If the angle is obtuse, you need to find the angle in Quadrant #2 Ex: Find the value of “θ” to the nearest degree Indicate the sides and angles Formula © Copyright all rights reserved to Homework depot:
6
Example 2: A triangle has side a = 11 inches, angle A = 40°, and side c = 8 inches. Solve for angle C.
7
Practice: Find θ to the nearest degree
Formula Formula Angle “B” is an OBTUSE angle, So it must be in Quadrant #2!! Angle “B” is an OBTUSE angle, So it must be in Quadrant #2!! © Copyright all rights reserved to Homework depot:
8
Ex: The angle of elevation to the top of the tower is 43°
Ex: The angle of elevation to the top of the tower is 43°. If you travels 100m closer, the angle is 75°. How tall is the tower? Assume the person is about 1.5m tall. Make a Triangle and Gather Info Find the Hypotenuse of the triangle Use the Hypotenuse to find the opposite side Height of the Tower © Copyright all rights reserved to Homework depot:
9
Example 7: At noon, two tracking stations on Earth , station A is 20 km west of station B, measure a rocket that was launched from a weather satellite. From station A the angle of elevation is 41° and from station B the angle of elevation was 75°. Find the height of the rocket above the earth. 9
10
Practice: A ship leaves Batumi on a bearing 300 and sails 860km
Practice: A ship leaves Batumi on a bearing 300 and sails 860km. They then change direction on a bearing of 222 and sail for 580km and reached Istanbul. How far is Batumi from Istanbul? Turkey © Copyright all rights reserved to Homework depot:
11
Proof For the Sine Law If we use another altitude for angle A, we can solve for the other part of the sine law © Copyright all rights reserved to Homework depot:
12
HW: Assignment 2.3
Similar presentations
© 2024 SlidePlayer.com. Inc.
All rights reserved.